The mathematical formalism of quantum mechanics predicts a maximum value for S of, which is greater than 2, and CHSH violations are therefore predicted by the theory of quantum mechanics.

To obtain the CHSH test statistic S ( expression ( 2 )), all that is needed is to multiply the inequalities for which j is different from k by − 1 and add these to the inequalities for which j and k are the same.

This loophole changes the inequalities to be used, for example the CHSH inequality:

As a basis for our description of experimental errors let us consider a typical experiment of CHSH type ( see picture to the right ).

It concerns discussion and experimental determination of whether local hidden variables are required for, or even compatible with, the representation of experimental results ; with particular relevance to the EPR thought experiment and the CHSH inequality.

The experiments whose results are under certain conditions summarized by the Tsirelson bound or by the CHSH inequality concern measurements obtained by a pair of observers, A and B, who each can detect one signal at a time in one of two distinct own channels or outcomes: for instance A detecting and counting a signal either as ( A ↑) or ( A ↓), and B detecting and counting a signal either as ( B «), or ( B »).

The quantum correlation is the key statistic in the CHSH and some of the other " Bell inequalities ", tests of which open the way for experimental discrimination between quantum mechanics on the one hand and local realism or local hidden variable theory on the other.

They derived the CHSH inequality, which, as with John Bell's original inequality ( Bell, 1964 ), is a constraint on the statistics of " coincidences " in a Bell test experiment which is necessarily true if there exist underlying local hidden variables ( local realism ).

In their 1974 paper ( Clauser, 1974 ), Clauser and Horne show that the CHSH inequality can be derived from the CH74 one.

There is no obvious way of including any other possibility, which is one of the reasons why Clauser and Horne's 1974 Bell test, using single-channel polarisers, should be used instead of the CHSH Bell test.

The following is based on section 2 of the Stanford Encyclopedia of Philosophy article written by Abner Shimony, one of the authors of the original Clauser, Horne, Shimony and Holt article ( 1969 ) after which the CHSH Bell test is named ( Shimony, 2004 ).

The CHSH paper lists many preconditions ( or " reasonable and / or presumable assumptions ") to derive the simplified theorem and formula.

`` E '' stands for `` execution '' -- the moment a `` go order '' would unleash an American nuclear strike.

Cardboard noisemakers, substitutes for the unavailable tin models, were being hawked and bought at makeshift stands every few yards along Broadway, and one's ears were continually serenaded by the horns' rasps and bleats.

the attitudes of a U.N. delegate who experiences difficulty in finding adequate housing in New York City, or of a foreign diplomat in similar circumstances in our Capital, can easily be directed against the United States and all that it stands for.

More stands on the margins of modernity for one reason alone -- because he wrote Utopia.

Babe Ruth, as he always did in the Stadium, played right field to avoid having the sun in his eyes, and Tommy Thevenow, a rather mediocre hitter who played shortstop for the St. Louis Cardinals, knocked a ball with all his might into the sharp angle formed by the permanent stands and the wooden bleachers, where Ruth could not reach it.

water is Af and the H stands for hydrogen ; ;

Against this invincible determination to communize the whole world stands a group of nations unable to agree on fundamentals and each refusing to make any sacrifice of sovereignty for the common good of all.

For all practical purposes, the West stands disunited, undedicated, and unprepared for the tasks of world leadership.

Implements of wood and iron are available for close and hasty combat no matter where a man stands.

The others, the ones in the stands, were spellbound, for hearing the mayor was for them like listening to a symphony was for sophisticated folks in New York City.

There was a crowd in the stands for a change and the sun was hot.

John Philoponus stands out for having attempted a fundamental critique of Aristotle's views on the eternity of the world, movement, and other elements of Aristotelian thought.

The Canadian Aboriginal syllabics are also an abugida rather than a syllabary as their name would imply, since each glyph stands for a consonant which is modified by rotation to represent the following vowel.

An abjad is a type of writing system where each symbol always or usually stands for a consonant, leaving the reader to supply the appropriate vowel.

Alpha also stands for thermal expansion coefficient of a compound in physical chemistry.

The win-loss ratio in Ashes Tests ( up to and including the 2011 series ) stands at 123 wins for Australia to 100 wins for England, with 87 draws.

Ann Arbor was founded in 1824, with one theory stating that it is named after the spouses of the city's founders and for the stands of trees in the area.

There are various accounts concerning the origin of the settlement's name ; one states that Allen and Rumsey decided to name it for their wives, both named Ann, and for the stands of burr oak in the of land they purchased for $ 800 from the federal government at $ 1. 25 per acre.

** The L stands for Linux affinity

The " ST " officially stands for " Sixteen / Thirty-two ", which referred to the Motorola 68000's 16-bit external bus and 32-bit internals.

Outside the centre stands a bronze statue of Thomas, by John Doubleday.

A statue of St. Louis by the sculptor John Donoghue stands on the roofline of the New York State Appellate Division Court at 27 Madison Avenue in New York City.

The breakwater is around long, stands in around 11 metres / 36 feet of water and was built by John Rennie and Joseph Whidbey starting in 1812.

* Verkamp's Curios, which stands next to the Hopi House, was built by John Verkamp in 1905.

* John 3: 18: " Whoever believes in him is not condemned, but whoever does not believe stands condemned already because he has not believed in the name of God's one and only Son.

These include Hall's Croft ( the one-time home of Shakespeare's daughter, Susanna, and her husband Dr. John Hall ) and Nash's House, which stands alongside the site of another property, New Place, owned by Shakespeare himself, wherein he died.

A large stone cross stands in the center of the campo santo ( cemetery ), first consecrated in 1778 and then again on January 29, 1939 by the Los Angeles Archbishop John Cantwell.

The remains of Father ( later Monsignor ) St. John O ' Sullivan, who recognized the property's historic value and working tirelessly to conserve and rebuild its structures, are buried at the entrance to the cemetery on the west side of the property, and a statue raised in his honor stands at the head of the crypt.

Middleton stands with John Fletcher and Ben Jonson as among the most successful and prolific of playwrights who wrote their best plays during the Jacobean period.

While Artest defiantly laid atop the scorer's table, Piston fan John Green threw a cup of beer at Artest, causing him to charge into the stands.

Among these was a Grand Royal Basilica in honour of Saint John, built ca 300-350 at the location where the Monastery of Saint John the Theologian stands today.

* A statue by John Henry Foley was shown at the 1851 Great Exhibition and later donated to the Bancroft Gardens, Stratford-upon-Avon where it now stands.

John subsequently comes upon Rachel as she bathes, and she stands half-naked without shame before him.

In 1793, Colonel John Carson built a plantation house near Buck Creek in the Pleasant Gardens community, which still stands today as the Historic Carson House.

President George H. W. Bush once said of PMQs, " I count my blessings for the fact I don't have to go into that pit that John Major stands in, nose-to-nose with the opposition, all yelling at each other.

The hostage negotiator, Lt. Frank Grimes ( Robert Duvall ), stands down to let John cool off.

The Bacons later constructed a larger home, which still stands on John Anderson Drive, from salvaged mahogany logs that washed ashore from the City of Vera Cruz shipwreck.

Brothers John, William and Nicholas Pence, previously of Warren County, Ohio, settled on the land on which Frankfort now stands in 1829, having entered it from the government in 1827 and 1828.

Today, the Station stands just two-doors from one of the city's oldest home ( rebuilt in 1908 ), which still boasts some of John B. Ford's original plate glass works.

It was replaced by the one that stands today in 1865, built by contractor John Haley.

A John Vanbrugh ornamental pillar known as the Quatre Faces ( marked as ' Four Faces ' on Ordnance Survey Maps ) stands in nearby Pretty Wood.

The City of Roeland Park was originally named after John Roe, an immigrant from Ireland who settled on in 1883, part of which Roeland Park now stands.

Nathaniel Ramsay / Key-Ramsey House Site ( CE-1300 ): Originally, the home of Francis Key, birthplace of John Ross Key and Father of Francis Scott Key composer of the “ Star Spangled Banner .” This structure was indicated in Benjamin Latrobe ’ s 1813 sketch of Charlestown, located where the Charlestown Parsonage for St. John ’ s Methodist Church stands today.